6th pd Algebraic Reasoning Fall Final

Front

Solve the system of equations: 3x - y = 17, -x + y = -7

Back

(5, -2)

Front

What is the equation for the line that has a slope of 1 and a y-intercept of 2?

Back

y = x + 2

Front

Consider the sequence 4, 1, -2, -5. What is the 65th term of this sequence?

Back

-188

Front

Which point is a solution to the system of inequalities: y ≤ -x + 4, y > x - 2?

Back

(0, 0)

Front

Find the length of x in the given problem.

Back

9.22

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean for a point to be a solution to a system of inequalities?

Back

It means that the point satisfies all inequalities in the system.

Front

How do you find the slope of a line given two points?

Back

Use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What is the formula for the nth term of an arithmetic sequence?

Back

a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the y-intercept of a line?

Back

The y-coordinate where the line crosses the y-axis.